Go To Your Study Dashboard

Get Answers to all your Questions

header-bg

Please Solve RD Sharma Class 12 Chapter Function Exercise 2.4 Question 15 Maths Textbook Solution.

Answers (1)

best_answer

Answer:

$f^{-1}\left ( 43 \right )2,f^{-1}\left ( 163 \right )=4$

Given:

$f:N\rightarrow N$ is a function defined as $f\left ( x \right )=9x^{2}+6x-5$ .

Hint:

The function should be an identity function.

Solution:

Let $y=f\left ( x \right )=9x^{2}+6x-5$

$y=9x^{2}+6x+1-1-5$

$y=\left (9x^{2}+6x+1 \right )-6$

$y=\left ( 3x+1 \right )^{2}-6$

$y+6=\left ( 3x+1 \right )^{2}$

$\sqrt{y+6}=\left ( 3x+1 \right )$

$\sqrt{y+6}-1=3x$

(Let )

Now,

=y+6-6

Identity function.

Identity function

Since andare identity functions.

Thus is invertible.

So,

Now,

Posted by

infoexpert27

View full answer

Crack CUET with india's "Best Teachers"

HD Video Lectures
Unlimited Mock Tests
Faculty Support

cuet_ads

Similar Questions

Trending Articles/News

anam-khan

When will CBSE Class 12 results 2025 be declared? Last two years' trends

anam-khan

CBSE Class 10, 12 board exams 2025 from April 7 to 11 for sports students

anam-khan

CBSE Class 12 history paper 2025 moderately difficult, tested students’ understanding

Latest Question